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31412322320 = 2453121313119
BaseRepresentation
bin11101010000010100…
…100000000000010000
310000002011211022101012
4131100110200000100
51003313023303240
622233003030052
72161266222431
oct352024400020
9100064738335
1031412322320
111235a489765
126107b0b328
132c67b69492
14173dc47488
15c3cb04b65
hex750520010

31412322320 has 120 divisors (see below), whose sum is σ = 76066024320. Its totient is φ = 12062918400.

The previous prime is 31412322313. The next prime is 31412322391. The reversal of 31412322320 is 2322321413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10069721 + ... + 10072839.

It is an arithmetic number, because the mean of its divisors is an integer number (633883536).

Almost surely, 231412322320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31412322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38033012160).

31412322320 is an abundant number, since it is smaller than the sum of its proper divisors (44653702000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31412322320 is a wasteful number, since it uses less digits than its factorization.

31412322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 31412322320 its reverse (2322321413), we get a palindrome (33734643733).

The spelling of 31412322320 in words is "thirty-one billion, four hundred twelve million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 131 155 248 262 310 496 524 620 655 961 1048 1240 1310 1922 2096 2480 2620 3119 3844 4061 4805 5240 6238 7688 8122 9610 10480 12476 15376 15595 16244 19220 20305 24952 31190 32488 38440 40610 49904 62380 64976 76880 81220 96689 124760 125891 162440 193378 249520 251782 324880 386756 408589 483445 503564 629455 773512 817178 966890 1007128 1258910 1547024 1634356 1933780 2014256 2042945 2517820 2997359 3268712 3867560 4085890 5035640 5994718 6537424 7735120 8171780 10071280 11989436 12666259 14986795 16343560 23978872 25332518 29973590 32687120 47957744 50665036 59947180 63331295 101330072 119894360 126662590 202660144 239788720 253325180 392654029 506650360 785308058 1013300720 1570616116 1963270145 3141232232 3926540290 6282464464 7853080580 15706161160 31412322320